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Finding the Third Proportional to 239,802 and 517,002

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Solution

The third proportional to 239,802 and 517,002 is: 1,114,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,802 : 517,002 = 517,002 : x
  2. Step 2: Convert to fraction form
    239,802/517,002 = 517,002/x
  3. Step 3: Cross multiply
    239,802x = 517,002 × 517,002
  4. Step 4: Simplify right side
    239,802x = 267,291,068,004
  5. Step 5: Solve for x
    x = 267,291,068,004/239,802
  6. Step 6: Final answer
    x = 1,114,632.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.